Journal ArticleDOI
Singular behaviour at the end of a tensile crack in a hardening material
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In this paper, a total deformation theory of plasticity, in conjunction with two hardening stress-strain relations, is used to determine the dominant singularity at the tip of a crack in a tension field.Abstract:
D istributions of stress occurring at the tip of a crack in a tension field are presented for both plane stress and plane strain. A total deformation theory of plasticity, in conjunction with two hardening stress-strain relations, is used. For applied stress sufficiently low such that the plastic zone is very small relative to the crack length, the dominant singularity can be completely determined with the aid of a path-independent line integral recently given by rice (1967). The amplitude of the tensile stress singularity ahead of the crack is found to be larger in plane strain than in plane stress.read more
Citations
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Journal ArticleDOI
Two-parameter J-A concept in connection with crack-tip constraint
TL;DR: In this article, the authors presented theoretical and numerical aspects of the two-parameter J-A approach in elastic-plastic fracture mechanics in connection with crack-tip constraint.
Journal ArticleDOI
Studies on the fracture mechanics parameters of weldment with mechanical heterogeneity
TL;DR: In this article, a fully plastic finite element method was introduced for assessing the fracture mechanics parameters of weldment with mechanical heterogeneity that there existed an equivalent yielding stress and equivalent strain hardening exponent in the vicinity of crack tip.
Journal ArticleDOI
A Dislocation Shielding Prediction of the Toughness Transition during Cleavage of Semibrittle Crystals
TL;DR: In this paper, an interconnected set of observations assesses current equilibrium models of the ductile-brittle transition temperature (DBTT), which involves in situ transmission electron microscopy (TEM) studies of crack-tip dislocations in single and polycrystals and bulk fracture toughness tests at various temperatures.
Journal ArticleDOI
Effects of test temperature, grain size, and alloy additions on the low-temperature fracture toughness of polycrystalline niobium
A. V. Samant,John J. Lewandowski +1 more
TL;DR: In this paper, the effects of test temperature (77 to 150 K), grain size (63 to 165 µm), and solid solution alloying additions of zirconium (Zr) on the fracture toughness (Kq, KIc) of polycrystalline niobium (Nb) were investigated.
Journal ArticleDOI
Modelling of crack growth by fracture damage zone
TL;DR: In this paper, a complex parameter such as dW/dV was proposed to measure the influence of material plasticity on the mode of crack initiation and propagation, which can fulfill in a more natural way the requirements to demonstrate the importance of both plasticity and fracture resistance.
References
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Book
The mathematical theory of plasticity
TL;DR: In this paper, the solution of two-dimensional non-steady motion problems in two dimensions is studied. But the solution is not a solution to the problem in three dimensions.
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Numerical Solution of Ordinary and Partial Differential Equations
Journal ArticleDOI
Local yielding and extension of a crack under plane stress
G.T Hahn,A. R. Rosenfield +1 more
TL;DR: In this article, the size of locally yielded regions, the stress distribution, and displacements attending a crack in tension under plane stress have been calculated by extending the work of Dugdale and others.
Journal ArticleDOI
Contained plastic deformation near cracks and notches under longitudinal shear
TL;DR: In this paper, an exact linear elastic-perfectly plastic solution for the problem of sharp notch (or, when the notch angle is zero, a crack) in a plane of finite width subjected to anti-plane stresses inducing a stress and deformation state of longitudinal shear is presented.
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